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SolveByWritingADifferenceOfReciprocalFunctionsAsAQuotient​(AngouriMath.​Entity,​AngouriMath.​Entity.​Variable,​System.​Boolean)

 Method (no overloads)

Summary

A difference of a trigonometric function and its reciprocal's partner written as the
quotient it is: csc(z) - sin(z) is cos(z)^2/sin(z) and sec(z) - cos(z) is sin(z)^2/cos(z), so that a power of either is a product of powers of the sine
and cosine; the integrand so written is asked as the same question.

Remarks

(csc(x) - sin(x))^(5/2) was declined, with the rest of Rubi's 4.7.7 to a power that
is not whole of either difference, either way up. As the quotient it is a product of
powers of the sine and cosine, which the rule beside it reads through the tangent.
https://github.com/asc-community/AngouriMath/issues/718

























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